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WARRIOR [948]
4 years ago
12

HELP PLEASE The distance between the points (4, 1) and (9, 1) is

Mathematics
2 answers:
I am Lyosha [343]4 years ago
4 0
It’s B. Hope it helped
luda_lava [24]4 years ago
4 0

Answer:

The answer is B. 5

Step-by-step explanation:

Plug (4, 1) and (9, 1) into the distance formula.

Distance = square root of ((x2 - x1)^2 + (y2 - y1)^2)

D = square root of ((9 - 4)^2 + (1 - 1)^2)

D = square root of (5^2 + 0^2)

D = square root of (25)

D = 5

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These ordered pairs, {(2,4) (3,6) (4,8) (5,10)}, are a function.<br><br> True<br><br> False
ki77a [65]

Answer:

True

Step-by-step explanation:

In order for a relation (a set of ordered pairs) to be considered a <em>function</em>, every value in the <em>domain</em> (the set of all the first numbers in the pair) is associated with one value in the <em>range</em> (the set of all second numbers in the pair). This is easiest to see visually. Our domain is the set {2, 3, 4, 5} and our range is the set {4, 6, 8, 10}, and we can visualize the ordered pair (2, 4) as an "arrow" starting a 2 in the domain and ending at 4 in the range. When seen this way, a relation is a function if <em>every value in the domain only has one arrow coming out of it</em>. We can see from the attached picture that the ordered pairs in the problem are a function, so this statement is true.

8 0
4 years ago
The quotient of fifty-six and a number
snow_lady [41]

Answer:56/x

Step-by-step explanation:

that is the answer

8 0
3 years ago
Which is the graph of f(x)=x^2-2x+3
LUCKY_DIMON [66]

Answer:

Step-by-step explanation:

Hello, the vertex is (1,2), right?

You remember that when the parabola equation is in standard form like below

y=ax^2+bx+c

The vertex is for , and we apply with this example where a = 1, b = -2, c=3

x=-\dfrac{b}{2a}=\dfrac{-(-2)}{2}=1\\\\1^2-2*1+3=4-2=2

So this is the first graph.

Thank you

3 0
4 years ago
The rabbit population on a small island is observed to be given by the function P(t) = 130t − 0.4t^4 + 1200 where t is the time
olya-2409 [2.1K]
A.) P(t) = 130t - 0.4t^4 + 1200
The population is maximum when P'(t) = 0
P'(t) = 130 - 1.6t^3 = 0
1.6t^3 = 130
t^3 = 81.25
t = ∛81.25 = 4.3 months.

Maximum population P(t)max = 130(4.3) - 0.4(4.3)^4 + 1200 = 1,622

b.) The rabbit population will disappear when P(t) = 0
P(t) = 130t - 0.4t^4 + 1200 = 0
 t ≈ 8.7 months
3 0
3 years ago
Read 2 more answers
During a renovation project for the train station, a parking lot for commuter train passengers is being enlarged. The original l
Tcecarenko [31]

Answer:

86,400 yd^2

Step-by-step explanation:

9600 * (3)^2 = 86,400 yd^2

8 0
4 years ago
Read 2 more answers
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